7k^2-6k-16=0

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Solution for 7k^2-6k-16=0 equation: 


Simplifying
7k2 + -6k + -16 = 0

Reorder the terms:
-16 + -6k + 7k2 = 0

Solving
-16 + -6k + 7k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-8 + -7k)(2 + -1k) = 0


Subproblem 1
Set the factor '(-8 + -7k)' equal to zero and attempt to solve:

Simplifying
-8 + -7k = 0

Solving
-8 + -7k = 0

Move all terms containing k to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -7k = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -7k = 0 + 8
-7k = 0 + 8

Combine like terms: 0 + 8 = 8
-7k = 8

Divide each side by '-7'.
k = -1.142857143

Simplifying
k = -1.142857143

Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

Move all terms containing k to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {-1.142857143, 2}

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